63041600 has 126 divisors (see below), whose sum is σ = 164196522. Its totient is φ = 23808000.

The previous prime is 63041557. The next prime is 63041603. The reversal of 63041600 is 614036.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 62980096 = 248^2 + 7936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63041603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1537580 + ... + 1537620.

It is an arithmetic number, because the mean of its divisors is an integer number (1303147).

Almost surely, 2^63041600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82098261).

63041600 is an abundant number, since it is smaller than the sum of its proper divisors (101154922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63041600 is a wasteful number, since it uses less digits than its factorization.

63041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 63041600 is about 7939.8740544167. The cubic root of 63041600 is about 397.9932828845.

Adding to 63041600 its reverse (614036), we get a palindrome (63655636).

The spelling of 63041600 in words is "sixty-three million, forty-one thousand, six hundred".